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14200434 = 23561479
BaseRepresentation
bin110110001010…
…111001110010
3222201110100000
4312022321302
512113403214
61224210430
7231462453
oct66127162
928643300
1014200434
118019aa6
124909a16
132c32731
141c5912a
1513a7809
hexd8ae72

14200434 has 48 divisors (see below), whose sum is σ = 32497920. Its totient is φ = 4646160.

The previous prime is 14200427. The next prime is 14200451. The reversal of 14200434 is 43400241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29407 + ... + 29885.

It is an arithmetic number, because the mean of its divisors is an integer number (677040).

Almost surely, 214200434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14200434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16248960).

14200434 is an abundant number, since it is smaller than the sum of its proper divisors (18297486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14200434 is an equidigital number, since it uses as much as digits as its factorization.

14200434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 14200434 is about 3768.3463216642. The cubic root of 14200434 is about 242.1589580156.

Adding to 14200434 its reverse (43400241), we get a palindrome (57600675).

The spelling of 14200434 in words is "fourteen million, two hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 243 366 479 486 549 958 1098 1437 1647 2874 3294 4311 4941 8622 9882 12933 14823 25866 29219 29646 38799 58438 77598 87657 116397 175314 232794 262971 525942 788913 1577826 2366739 4733478 7100217 14200434